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Finding the Third Proportional to 311,695 and 681,709

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Solution

The third proportional to 311,695 and 681,709 is: 1,490,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,695 : 681,709 = 681,709 : x
  2. Step 2: Convert to fraction form
    311,695/681,709 = 681,709/x
  3. Step 3: Cross multiply
    311,695x = 681,709 × 681,709
  4. Step 4: Simplify right side
    311,695x = 464,727,160,681
  5. Step 5: Solve for x
    x = 464,727,160,681/311,695
  6. Step 6: Final answer
    x = 1,490,967.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.